Question

a rectangular playground has an area of 180 square yards. the length of the playground is 3 yards longer than the width. find the length of the playground. 15 yards 12 yards 18 yards 13 yards

Explanation:

Step1: Define variables for width/length

Let width = $w$, length = $w+3$

Step2: Set up area equation

Area: $w(w+3)=180$
Expand: $w^2 +3w -180=0$

Step3: Factor the quadratic equation

$(w+15)(w-12)=0$

Step4: Solve for valid width

$w=12$ (discard $w=-15$, invalid)

Step5: Calculate length

Length = $12+3=15$

Answer:

15 yards